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An Elementary Transition to Abstract Mathematics

By: (Edited by) Janet M. Wilson , (Edited by) Paloma Fresno-Calleja

Extended Catalogue

Ksh 16,200.00

Format: Hardback or Cased Book

ISBN-10: 0367336936

ISBN-13: 9780367336936

Series: Textbooks in Mathematics

Publisher: Taylor & Francis Ltd

Imprint: CRC Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Oct 28th, 2019

Print length: 292 Pages

Weight: 588 grams

Dimensions (height x width x thickness): 23.40 x 32.20 x 1.60 cms

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This text is intended to help students move from introductory courses to those where rigor and proof play a much greater role. The emphasis is on precise definitions of mathematical objects and rigorous proofs of properties.

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role.

The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials.

Features:

  • The material is presented in many short chapters, so that one concept at a time can be absorbed by the student.
  • Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student’s transition by working with familiar concepts.
  • Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns.
  • A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.

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